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Tacettin İKİZ



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Self-Inductance of a Single Core Cable

Started by Tacettin İKİZ, February 11, 2025, 03:03:42 PM

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Tacettin İKİZ

Self-Inductance of a Single Core Cable

The self-inductance of a single core cable is a property that describes the electromotive force caused by the change in current in the cable.

Formula:
L = l log (R1 / R2) (1 / 2π) μ0

Where:
  • L = Self-inductance of the cable
  • l = Length of the cable
  • R1 = Outer sheath radius
  • R2 = Conductor radius
  • μ0 = Permeability of free space (4π × 10⁻⁷ H/m)
Key Insights:
  • The inductance increases linearly with cable length.
  • A larger sheath radius (R1) increases inductance.
  • The inductance depends on the permeability (μ0) of the surrounding medium.
  • High frequencies affect inductance due to the skin effect.
  • Inductive reactance is given by XL = 2π f L.
Additional Notes:
- At high frequencies, inductance is affected by eddy currents and the proximity effect.
- In multi-core cables, mutual inductance influences the overall behavior.
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